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Pushdown automata

Pushdown automata

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Pushdown automata represent, in essence, finite automata extended by potentially infinite stacks, commonly referred to as pushdown lists or, more briefly, pushdowns. In this chapter, we demonstrate that these automata are as powerful as context-free grammars, discussed in the previous chapter. This chapter is divided into four sections. First, Section 7.1 defines pushdown automata. Then, Section 7.2 stablishes the equivalence between them and context-free grammars. Section 7.3 introduces three ways of accepting languages by these automata. Finally, Section 7.4 narrows its attention to the deterministic versions of pushdown automata and demonstrates that they are less powerful than their nondeterministic versions.

Chapter Contents:

  • 7.1 Pushdown automata
  • 7.2 Pushdown automata and context-free grammars are equivalent
  • 7.3 Three types of acceptance by pushdown automata
  • 7.4 Determinism

Inspec keywords: context-free grammars; pushdown automata

Other keywords: context -free grammars; pushdown automata

Subjects: Automata theory; Formal languages and computational linguistics

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